Pith Number

pith:3MFEBQZX

pith:2017:3MFEBQZXRXQCA2JNZIUTNWQGB5

not attested not anchored not stored refs pending

Unique equilibrium states for geodesic flows in nonpositive curvature

Daniel J. Thompson, Keith Burns, Todd Fisher, Vaughn Climenhaga

arxiv:1703.10878 v3 · 2017-03-31 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3MFEBQZXRXQCA2JNZIUTNWQGB5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:06:56.561915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db0a40c3378de020692dca2936da060f68dc12648230ffafc7b9126df2459486

Aliases

arxiv: 1703.10878 · arxiv_version: 1703.10878v3 · doi: 10.48550/arxiv.1703.10878 · pith_short_12: 3MFEBQZXRXQC · pith_short_16: 3MFEBQZXRXQCA2JN · pith_short_8: 3MFEBQZX

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3MFEBQZXRXQCA2JNZIUTNWQGB5 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: db0a40c3378de020692dca2936da060f68dc12648230ffafc7b9126df2459486

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9266bd9f93b5fd944225118645afac2cbb339816b7946a60970d7408dea73a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-03-31T12:20:41Z",
    "title_canon_sha256": "97ec629231d3163a8d04cf40d5a1e4075cf138859660f19e753499294768a636"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10878",
    "kind": "arxiv",
    "version": 3
  }
}